268647498 has 288 divisors, whose sum is σ = 806682240. Its totient is φ = 63866880.

The previous prime is 268647493. The next prime is 268647499. The reversal of 268647498 is 894746862.

268647498 is a `hidden beast` number, since 2 + 6 + 86 + 474 + 98 = 666.

Its product of digits (4644864) is a multiple of the sum of its prime divisors (112).

It is not an unprimeable number, because it can be changed into a prime (268647493) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6552358 + ... + 6552398.

It is an arithmetic number, because the mean of its divisors is an integer number (2800980).

Almost surely, 2^268647498 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268647498, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403341120).

268647498 is an abundant number, since it is smaller than the sum of its proper divisors (538034742).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

268647498 is a wasteful number, since it uses less digits than its factorization.

268647498 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 112 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 268647498 is about 16390.4697309138. The cubic root of 268647498 is about 645.2493861668.

The spelling of 268647498 in words is "two hundred sixty-eight million, six hundred forty-seven thousand, four hundred ninety-eight".